51387050400 has 864 divisors, whose sum is σ = 208107930240. Its totient is φ = 10779402240.

The previous prime is 51387050347. The next prime is 51387050471. The reversal of 51387050400 is 405078315.

51387050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 224397486 + ... + 224397714.

It is an arithmetic number, because the mean of its divisors is an integer number (240865660).

Almost surely, 2^51387050400 is an apocalyptic number.

51387050400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51387050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104053965120).

51387050400 is an abundant number, since it is smaller than the sum of its proper divisors (156720879840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51387050400 is a wasteful number, since it uses less digits than its factorization.

51387050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The spelling of 51387050400 in words is "fifty-one billion, three hundred eighty-seven million, fifty thousand, four hundred".